HowTo:Divide by One

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Dividing by One is the simplest way to prove that mathematics is wrong. Most proofs depend upon division by zero, or imaginary numbers. As such, controversy shrouds these "proofs." But Division by One is well-defined. And while One may be the loneliest number, it is certainly not imaginary.

Contents

[edit] Analogy

Before attempting even the simplest arithmetic, it is important to have a good analogy. In our case, we shall think of division as being like slicing a cake. If you were ever a child, and ever went to school, and didn't suffer from some congenital brain malady, you should have the picture by now. But just in case...

If we want to divide by two, we simply slice the cake into two equal pieces. If we want to divide by three, we slice it into three equal pieces (or "in thirds," as it were).

At this point, the question arises, "Why can't we use a pie for our analogy?" To this I say, "For the love of God, man, be rational!"

[edit] Tools

Obviously, the only tool we need is a sharp knife. This knife will represent the "slash" in fractions such as 1/2 or 2/3. In other words, the knife shall represent the operation of division itself.

[edit] First Attempt

Since x/1 = x, we can choose any number for x, try to divide by one, and see if the result is the number we chose.

Let's choose x=1 since he still looks lonely. Returning to our analogy (where all good mathematics is done), we have one single cake which we wish to cut into one equal piece. We raise our knife, and lo, the result is before us before we even begin!

[edit] Contradiction

At a glance we see that 1/1 = 1. The result is indeed correct. However, we have not used our knife yet! So we see that it is impossible to divide by one. The contradiction lies not in the answer, but in the fact that no division was performed. Hence the difficulty resides in Math itself. Math is wrong. QED.

[edit] Guidelines regarding Knives

  • For blind people reading this article, please use a chainsaw; you will get better action
  • For anyone belonging to the Knights of Ni, please use a herring
  • For any shrubbers by the name of John, who deal in shrubberies, not neglecting the art of shrubbing, please remember the nice level effect with a path down the middle.
  • If you do not speak proper English use a stethoscope
  • Avoid round knives (those are for Physics ONLY!)
  • Neo: There is no knife.

[edit] See Also

MATH N' SHIT
Numbers Numbers · NUMB3RS · Roman numerals · Zero · 0.999... · 4/0 · 9/11 · More than one · Million · Sextillion · Eleventy billion · Pi · Evil Pi · Sigma · Infinity
Operators Addition · = · An infinite number of monkeys with typewriters · Imaginary Number
Devices Abacus · Slide rule · Calculator · Ti-83 · Texas Instruments
Theorems & Axioms Theorem · All numbers are equal to zero(*) · ...but some are more equal than others · PI equals exactly three(*) · Fermat's Penultimate Theorem(*) · Fermat's Last Theorem · Cauchy's theorem · Trichotomy · Extreme Value Theorem(*) · Euclid's Axioms · Hilbert's Hotel · Hairy ball theorem
People Alan Turing · Nerds · Asians · Mathematician · Mathemagician
Fields of Mathematics
Quantity Integer · Negative numbers · Negative Numbers · Irrational numbers · Complex numbers · Edible numbers(*) · Gay Numbers(*) · Fibonacci Sequence · Prime number · Odd
Structure Binary Mathematics · Arithmetic · Pre-Algebra · Intermediate algebra · Alegebra · Al Gebra · Equation · Linear Algebra · Linear Algebra in nature · Boolean Logic · Polynomial
Space Geometry · Bigonometry · Trigonometry · Sine · Fractal
Change Calculus · Integral · Derivative · Vector calculus · Multivariable Calculus
Foundations and philosophy Logic · Modal logic
Applied mathematics Statistics · Random Statistics(*)· Game theory · Probability Theory · Generic Theory of Probably Something(*) · laws of physics
Other freaky math fields Intelligent Math · Bush Math · Extreme mathematics · New Math · Newmath · Nude math · Rumsfeldian Mathematics · Silly math
unclassified links Einstein's Malicious Theories · First numbers · Fourier Transform · Hexakosioihexekontahexaphobia · How to Divide by Zero · HowTo:Divide by One · It doesn't matter what your answer is so long as you feel good about it math · Laplace transform · The largest number · Mathematics is wrong · Monty Hall problem · Nullity · Numerology · Oodles · Paradox (Achilles and the Tortoise) · Proof · Property of 5 · Recursive · Tangent · The Quantity 2 plus 4 times y = Your Mom · Transcendental curve
Glossary of mathematical terms
1+1

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